Atkin-Lehner |
2+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040w |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1147392 |
Modular degree for the optimal curve |
Δ |
-1426672000000 = -1 · 210 · 56 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -6 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2504505,1526401025] |
[a1,a2,a3,a4,a6] |
j |
-1696639751279573488384/1393234375 |
j-invariant |
L |
3.1891364858908 |
L(r)(E,1)/r! |
Ω |
0.53152275239257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040ca1 4940e1 |
Quadratic twists by: -4 8 |